A Model of the Deformations of a Cross‐Section of the Spinal Cord Due to Periodic Pressure Loadings

ABSTRACT Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead to the cord being damaged. In addition, the changes in the pressure of the surrounding cerebrospinal fluid can cause changes to the pressure...

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Published inMathematical methods in the applied sciences Vol. 48; no. 5; pp. 6222 - 6229
Main Authors Harris, Paul J., Venton, Jenny
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 30.03.2025
Subjects
Cerebrospinal fluid
Differential equations
Finite element method
Fourier series
Fourier series method
Mathematical models
porous media
Spinal cord
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Abstract ABSTRACT Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead to the cord being damaged. In addition, the changes in the pressure of the surrounding cerebrospinal fluid can cause changes to the pressure of the extracellular fluid which saturates the spinal cord. The finite element method can be used to solve the differential equations, which describe both how the cord deforms and changes in the pressure of the extracellular fluid but often this requires a large number of time‐steps to obtain an accurate and stable numerical solution. We present an alternative approach that uses a Fourier series method that avoids the need for using a time‐stepping scheme and that can model how a pressure pulse affects the spinal cord.
AbstractList Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead to the cord being damaged. In addition, the changes in the pressure of the surrounding cerebrospinal fluid can cause changes to the pressure of the extracellular fluid which saturates the spinal cord. The finite element method can be used to solve the differential equations, which describe both how the cord deforms and changes in the pressure of the extracellular fluid but often this requires a large number of time‐steps to obtain an accurate and stable numerical solution. We present an alternative approach that uses a Fourier series method that avoids the need for using a time‐stepping scheme and that can model how a pressure pulse affects the spinal cord.
ABSTRACT Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead to the cord being damaged. In addition, the changes in the pressure of the surrounding cerebrospinal fluid can cause changes to the pressure of the extracellular fluid which saturates the spinal cord. The finite element method can be used to solve the differential equations, which describe both how the cord deforms and changes in the pressure of the extracellular fluid but often this requires a large number of time‐steps to obtain an accurate and stable numerical solution. We present an alternative approach that uses a Fourier series method that avoids the need for using a time‐stepping scheme and that can model how a pressure pulse affects the spinal cord.
Author Venton, Jenny
Harris, Paul J.
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10.1002/nme.2579
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Snippet ABSTRACT Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead...
Changes in the pressure of the cerebrospinal fluid that surrounds the spinal cord can cause deformations of the spinal cord, which, in turn, may lead to the...
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SubjectTerms Cerebrospinal fluid
Differential equations
Finite element method
Fourier series
Fourier series method
Mathematical models
porous media
Spinal cord
Title A Model of the Deformations of a Cross‐Section of the Spinal Cord Due to Periodic Pressure Loadings
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